The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials

Behar Baxhaku, Ramadan Zejnullahu and Artan Berisha

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: We have constructed a new sequence of positive linear operators with two variables by using Szasz‐Kantorovich‐Chlodowsky operators and Brenke polynomials. We give some inequalities for the operators by means of partial and full modulus of continuity and obtain a Lipschitz type theorem. Furthermore, we study the convergence of Szasz‐Kantorovich‐Chlodowsky‐Brenke operators in weighted space of function with two variables and estimate the rate of approximation in terms of the weighted modulus of continuity.

Date: 2018
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https://doi.org/10.1155/2018/3658389

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:3658389

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